Each of those angles are Inscribed angles. A useful fact is that the measure of the intercepted arc of an inscribed angle is twice the measure of the angle.

The intercepted arc of ∠C is arc BED. The intercepted arc of ∠E is arc BCD.

m(arc BED) + m(arc BCD) = 2( m∠C + m∠E)

The two arcs combined make u p the entire circle, so the sum of their measures is 360.

360 = 2(m∠C + m∠E)
180 = m∠C + m∠E

The angles are supplementary.

4 0

3 years ago

PLEASE HELP WILL MARK BRSINLIEST!!!!!

Lina20 [59]

Answer:

a) Yes

b) Not a right triangle

Step-by-step explanation:

The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.

7 + 8 = 15 > 9

7 + 9 = 16 > 8

8 + 9 = 17 > 7

Therefore, a triangle with side lengths 7, 8 and 9 <u>can</u> be made.

To determine if the triangle is a right triangle, use Pythagoras' Theorem:

a² + b² = c² (where a and b are the legs, and c is the hypotenuse)

The hypotenuse is the longest side, therefore:

a = 7
b = 8
c = 9

Substituting these values into the formula:

⇒ a² + b² = c²

⇒ 7² + 8² ≠ 9²

⇒ 113 ≠ 81

As 7² + 8² ≠ 9² then the triangle is <u>not</u> a right triangle.

8 0

2 years ago